Question

$\huge\star \: \mathtt{Question }$



The numerator and denominator of a rational number are in the ratio 3:4 . If the denominator is increased by 3, the ratio becomes 3:5 . Find the rational number ?

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Answer 1

Answer:

answer is =9/12

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Step-by-step explanation:

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Answer 2

Let the numerator and denominator of a rational number be 3x and 4x respectively.

[x is an assumed common multiple].

As per the question ::

$\sf \dfrac{3x}{4x + 3} = \dfrac{3}{5}$

$\sf \: 15x = 3(4x + 3)$

$\sf \: 15x = 12x + 9$

$\sf \: 15x \: - 12x = 9$

$\sf \: 3x = 9$

$\boxed{ \sf \: x = 3 } \dots\bigstar$

Therefore, the numerator (3x) = 3×3 = 9

Denominator (4x) = 4×3 = 12

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Required Rational number would be 9/12